Detail publikace

On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints

LOUČKA, P.

Originální název

On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

We introduce a new conic fitting algorithm using Geometric Algebra for Conics (GAC) that not only minimises the overall distance to a data set, but also causes the fitted conic to pass through prescribed waypoints. Moreover, the expression for points at infinity (also called improper points) in terms of GAC is derived; hence, the use of the improper waypoints in the conic fitting problem is enabled. Finally, a MATLAB implementation of the fitting algorithm and experimental results based on custom data sets are included.

Klíčová slova

Clifford algebra; conic fitting; geometric algebra; ideal point; improper point; point at infinity; proper point; waypoint

Autoři

LOUČKA, P.

Vydáno

27. 4. 2023

Nakladatel

Springer, Cham

Místo

Switzerland

ISBN

978-3-031-30922-9

Kniha

EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering

Edice

Lecture Notes in Computer Science

Číslo edice

13862

Strany od

67

Strany do

79

Strany počet

13

URL

https://link.springer.com/chapter/10.1007/978-3-031-30923-6_6

BibTex

@inproceedings{BUT187886,
  author="Pavel {Loučka}",
  title="On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints",
  booktitle="EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering",
  year="2023",
  series="Lecture Notes in Computer Science",
  number="13862",
  pages="67--79",
  publisher="Springer, Cham",
  address="Switzerland",
  doi="10.1007/978-3-031-30923-6\{_}6",
  isbn="978-3-031-30922-9",
  url="https://link.springer.com/chapter/10.1007/978-3-031-30923-6_6"
}